Can this be done now for under $1000? If so, this is a pretty attractive machine.
CPU + Mobo + GPU + RAM + SSD is going to run you around $500 + $200 + $300 + $200 + $300 = $1500. Rest of the components probably run you another $500. So for those exact specs, it's at least $2000 in parts today. You can probably get slightly worse stuff and do this for ~$1500.
(prices estimated from eBay)
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CPU, fans, cpu cooler, motheboard, RAM, PSU, GPU (comparable Radeon 280x) $865 +/-$50 (shipped) Note: a cheaper CPU (+overclock), a different PSU (500-600w would be fine for this system), cheaper ram (+overclock) would net a $100-200 savings for nearly identical performance
Case (Silverstone fortress FT-03) $200 est
Apple-compatible PCIe wifi card $130 shipped
Storage, speakers, mouse/keyboard, and display vary by user needs the cost here could be $200 or less for cheap/used components or $10k for color-accurate panels, audiophile speakers, custom mechanical keyboard, multiple PCIe SSDs, etc, etc
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TL,DR - let's assume you're will to source some used components and go the cheaper route on a few things. You already have access to a screen, input devices, and speakers. In this situation, you could build a comparable machine for under $1000 + the cost of whatever storage SSD/HDD you need. You could stay under $1000 for the whole build if you opt for a cheap case and a single SATA-based SSD.